Ideal-based Zero-divisor Graphs of Non-commutative Rings

Ideal-based Zero-divisor Graphs of Non-commutative Rings

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摘要 This paper introduces an ideal-boyed zero-divisor graph of non-commutative rings,denoted ΓI（R）.ΓI（R） is a directed graph.The properties and possible structures of the graph is studied.

作者 LI Yun-hui TANG Gao-hua

机构地区 Yuan＇an No. Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期125-130,共6页 数学季刊（英文版）

基金 Supported by Guangxi Natural Sciences Foundation(0575052,0640070) Supported byInnovation Project of Guangxi Graduate Education(2006106030701M05) Supported Scientific Research Foun-dation of Guangxi Educational Committee

关键词 non-commutative ring ideal-based zero-divisor graph diameter 非可交换的戒指；基于理想；零除数的图；直径；

分类号 O153.3 [理学—基础数学]

作者简介 Biographies： LI Yun-hui（1977- ）, female, native of Yichang, Hubei, a teacher of Yuan＇an Senior Middle School, M.S.D., engages in commutative algebra;TANG Gao-hua（1965- ）, male, native of Guilin, Guangxi, a professor of Guangxi Teacher＇s College, Ph.D., engages in homological algebra.

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Chinese Quarterly Journal of Mathematics

2011年第1期

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Ideal-based Zero-divisor Graphs of Non-commutative Rings

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